Question

What is the solution of the equation 5/3 - 2x = 1/6 ?

Answer 1

To solve for x, we can start by isolating the variable on one side of the equation.

First, we can simplify the equation by finding a common denominator for the fractions:

5/3 - 2x = 1/6

To find a common denominator, we can multiply 3 by 2, giving us 6:

(5/3)(2/2) - 2x = 1/6

This gives us:

10/6 - 2x = 1/6

Next, we can subtract 10/6 from both sides of the equation:

10/6 - 10/6 - 2x = 1/6 - 10/6

This simplifies to:

-2x = -9/6

Now, we can divide both sides of the equation by -2 to solve for x:

(-2x)/-2 = (-9/6)/-2

This gives us:

x = 9/12

Finally, we can simplify 9/12 to its lowest terms by dividing both the numerator and denominator by 3:

x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.